 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A. V. Gnoevoi, D. M. Klimov, and V. M. Chesnokov, "On the equations of flow of Bingam media," Mech. Solids. 36 (6), 91-96 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
6 |
Pages |
91-96 |
| Title |
On the equations of flow of Bingam media |
| Author(s) |
A. V. Gnoevoi (Moscow)
D. M. Klimov (Moscow)
V. M. Chesnokov (Moscow) |
| Abstract |
A system of equations is obtained for analyzing the flow of Bingam
media. The difference of this system from systems obtained previously is
that only one equation - the basic rheological law of
deformation of the medium - contains an ambiguity. This ambiguity is
eliminated from the rheological equation by using either physical
considerations or mechanical formulation of the problem. The
equations obtained permit one to investigate the flow of a Bingam
medium in the entire region of flow, i.e., in the regions of both
shear and plastic flows. Particular cases of these equations
are the equations of flow of viscous media (Newton's fluids) and
ideally plastic media. These particular cases are obtained from the
general equations by equating appropriate rheological
constants to zero. As an example, the equations obtained are used
for analyzing the flow of a Bingam medium between parallel plates
under a prescribed pressure differential. |
| References |
| 1. | L. M. Kachanov, Fundamentals of the Theory of Plasticity [in
Russian], Nauka, Moscow, 1969. |
| 2. | B. Saint-Venant, "On the determination of the equations of
internal motions occurring in plastic solids beyond the elastic
limit," in Yu. N. Rabotnov (Editor), Theory of Plasticity.
Collected Papers [Russian translation], pp. 11-19, Izd-vo
Inostr. Lit-ry, Moscow, 1948. |
| 3. | M. Levi, "To the general equations of internal motions
occurring in plastic solids beyond the elastic
limit," in Yu. N. Rabotnov (Editor), Theory of Plasticity.
Collected Papers [Russian translation], pp. 20-23, Izd-vo
Inostr. Lit-ry, Moscow, 1948. |
| 4. | A. V. Gnoevoi, D. M. Klimov, and V. M. Chesnokov, To the
Theory of Flow of Bingam Media. Preprint No. 626 [in Russian], Institute
for Problems in Mechanics of the Russian Academy of Sciences, Moscow, 1998. |
| 5. | A. V. Gnoevoi, D. M. Klimov, and V. M. Chesnokov, "On one
case of the plane flow of Bingam media," Izv. AN. MTT [Mechanics of
Solid], No. 5, pp. 63-73, 2001. |
| 6. | N. A. Slezkin, Dynamics of a Viscous Incompressible Fluid [in
Russian], Gostekhizdat, Moscow, 1955. |
| 7. | M. Reiner, Deformation and Flow [Russian translation],
Gostoptekhizdat, Moscow, 1963. |
| 8. | H. Henky, "On the slow steady-state flows in plastic bodies
with applications to rolling, pressing, and drawing,"
in Yu. N. Rabotnov (Editor), Theory of Plasticity.
Collected Papers [Russian translation], pp. 136-156, Izd-vo
Inostr. Lit-ry, Moscow, 1948. |
| 9. | M. P. Volarovich and A. M. Gutkin, "Flow of a viscoplastic
body between two parallel plane walls and an annular clearance
between coaxial tubes," ZhTF, Vol. 16, No. 3, pp. 321-329, 1946. |
|
| Received |
18 September 2000 |
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